The American house-carpenter; a treatise on the art of building, and the strength of materials (1873)
Hatfield, R. G. (Robert Griffith), 1815-1879 · New York : J. Wiley · leaf 88
by e 5 is equal to e d mutiplied by c e—or the product of the means equals the product of the ex-tremes. 165.—Proposition. In any circle, when a segment is given,the radius is equal to the sum of the squares of half the chordand of the versed sine, divided by twice the versed sine. Leta 5, (Fig.… … Fig. 116. length of sides. Therefore, v : nr.m : i, or — = i ; that is, i ia equal to the square of n (or n x n) divided by v. This resultbeing added to v equals the diameter o #, which may be indi cated by the letter dj thus, H v =i + v = d/ and the half of this, or- ™ T - = — — r = the radius.…
Carpentry · Architecture
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